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Finding the Fourth Proportional to 698.48, 1,045.40 and 588.93

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Solution

The fourth proportional to 698.48, 1,045.40 and 588.93 is: 881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.48 : 1,045.40 = 588.93 : x
  2. Step 2: Convert to fraction form
    698.48/1,045.40 = 588.93/x
  3. Step 3: Cross multiply
    698.48x = 1,045.40 × 588.93
  4. Step 4: Simplify right side
    698.48x = 615,664.48
  5. Step 5: Solve for x
    x = 615,664.48/698.48
  6. Step 6: Final answer
    x = 881.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.